Call for rethink on private schools' charitable status

The Guardian reports today Call for rethink on private schools' charitable status Now there is a very valid debate to be had here. Private education is viewed by some as 'unfair' in that it is only available to the well-off and also that it reinforces class divisions. It is quite hard to argue against that, although I think that there are two important points to make:

• Every child going to private education saves the per-capita cost to state-education. If there was no private education, state education would have a higher overall cost, which, as it is funded out of general taxation, would cost more to everyone, not just to those who had to 'opt' back in.
  
• If private education is objectionable on principle, then is the purchasing of books, private music lessons, museum visits and any of the other 'educational' activities you can carry out for your children?
  

But then there is another issue, in allowing universities to be able to charge 'top-up' fees and many planning to do so across-the-board, how is University education now different in principle from private (school) education? I don't think it will be. Developing this further, will universities also then lose their charity status?